Integration by Partial Fraction Decomposition

📢 This is a list of videos of integration by partial fraction decomposition.

No. Problem 📽️ Video Link
01 \(\displaystyle \int \frac{5 - x}{(x - 2)(3 - x)} \, dx\) https://youtu.be/Sbj2ROSpIm0
02 \(\displaystyle \int \frac{7 - 8x}{3x^2 + x - 2} \, dx\) https://youtu.be/3wvBueoLgbo
03 \(\displaystyle \int \frac{x^3 + 4x^2 - 2x - 27}{(x - 1)(x + 2)(x + 3)} \, dx\) https://youtu.be/FGykYKPFG0s
04 \(\displaystyle \int \frac{9x^2 + 6x + 2}{(2x - 3)(x + 1)^2} \, dx\) https://youtu.be/ZDTvPHiq87w
05 \(\displaystyle \int \frac{4x^2 - 5x + 11}{(x - 1)(x^2 + 4)} \, dx\) https://youtu.be/aZVeBPFoLrQ
06 \(\displaystyle \int \frac{5x^2 + 8x + 20}{x^3 + 2x^2 + 5x} \, dx\) https://youtu.be/x5Rh6OsIfB0
07 \(\displaystyle \int \frac{x^5 - x^4 - 12x^3 - 60x^2 + 17x + 13}{x^4 + 4x^3 + 13x^2} \, dx\) https://youtu.be/mbRrSaQpDEc
08 \(\displaystyle \int \frac{1}{x^3 - 1} \, dx\) https://youtu.be/oTilP9Y6k3k